Mathematics 9709 · AS & A Level · Permutations and combinations
Permutations and combinations — practice question
A Book Club contains 6 men and 8 women. The club’s committee is formed from five members. Mr Lan and Mrs Lan are both members of the club.
(a)[2]
How many distinct committees can be formed if exactly one of Mr Lan and Mrs Lan has to be on the committee?
(b)[4]
How many different committees can be formed if Mrs Lan must be on the committee and there must be more women than men on the committee?
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses combinations, for example ${}^{12}C_{4}\times2$, or a matching equivalent” …